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Finding the Fourth Proportional to 384,840.34, 577,016.00 and 337,550.40

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Solution

The fourth proportional to 384,840.34, 577,016.00 and 337,550.40 is: 506,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,840.34 : 577,016.00 = 337,550.40 : x
  2. Step 2: Convert to fraction form
    384,840.34/577,016.00 = 337,550.40/x
  3. Step 3: Cross multiply
    384,840.34x = 577,016.00 × 337,550.40
  4. Step 4: Simplify right side
    384,840.34x = 194,771,981,184.46
  5. Step 5: Solve for x
    x = 194,771,981,184.46/384,840.34
  6. Step 6: Final answer
    x = 506,111.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.